Global regularity of solutions to quasilinear conormal derivative problem with controlled growth

Doyoon Kim

doi:10.4134/JKMS.2012.49.6.1273

Global regularity of solutions to quasilinear conormal derivative problem with controlled growth

Doyoon Kim

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We prove the global regularity of weak solutions to a conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth conditions on the low order terms. The leading coefficients are in the class of BMO functions with small mean oscillations.

Original language	English
Pages (from-to)	1273-1299
Number of pages	27
Journal	Journal of the Korean Mathematical Society
Volume	49
Issue number	6
DOIs	https://doi.org/10.4134/JKMS.2012.49.6.1273
Publication status	Published - 2012
Externally published	Yes

Keywords

Bmo coefficients
Conormal derivative boundary value problem
Quasilinear elliptic equations
Sobolev spaces

ASJC Scopus subject areas

General Mathematics

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10.4134/JKMS.2012.49.6.1273

Cite this

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title = "Global regularity of solutions to quasilinear conormal derivative problem with controlled growth",

abstract = "We prove the global regularity of weak solutions to a conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth conditions on the low order terms. The leading coefficients are in the class of BMO functions with small mean oscillations.",

keywords = "Bmo coefficients, Conormal derivative boundary value problem, Quasilinear elliptic equations, Sobolev spaces",

author = "Doyoon Kim",

year = "2012",

doi = "10.4134/JKMS.2012.49.6.1273",

language = "English",

volume = "49",

pages = "1273--1299",

journal = "Journal of the Korean Mathematical Society",

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publisher = "Korean Mathematical Society",

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AU - Kim, Doyoon

PY - 2012

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N2 - We prove the global regularity of weak solutions to a conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth conditions on the low order terms. The leading coefficients are in the class of BMO functions with small mean oscillations.

AB - We prove the global regularity of weak solutions to a conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth conditions on the low order terms. The leading coefficients are in the class of BMO functions with small mean oscillations.

KW - Bmo coefficients

KW - Conormal derivative boundary value problem

KW - Quasilinear elliptic equations

KW - Sobolev spaces

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U2 - 10.4134/JKMS.2012.49.6.1273

DO - 10.4134/JKMS.2012.49.6.1273

M3 - Article

AN - SCOPUS:84930479148

SN - 0304-9914

VL - 49

SP - 1273

EP - 1299

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 6

ER -

Global regularity of solutions to quasilinear conormal derivative problem with controlled growth

Abstract

Keywords

ASJC Scopus subject areas

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